Hannah simplified the radical below and wants someone to check the work (view image)

Hannah Simplified The Radical Below And Wants Someone To Check The Work (view Image)

Answers

Answer 1

Answer:

4|x|y²√(3yz)

She forgot the absolute value sign on x, and she left out the exponent on y.

Step-by-step explanation:

Step 1 is correct.

x may be positive, zero, or negative.

√x is always non-negative. To assure that √x² is non-negative, √x² = |x|.

√16 = 4

√3 = √3

√x² = |x|

√y² × √y² = √y^4 = y²

Since y² is always non-negative, there is no need for absolute value sign.

√y^4 = y²

Answer should be

4|x|y²√(3yz)


Related Questions

Hello, I am stuck on this question which is a exchange rate question

if 1 sar is worth 0.05 US dollars, how many south african rand is 1 US dollar worth?

Answers

Answer:

0.05 US$=1 sar

then,1 US$=1/0.05 sar.

Carmen and her dog, Duke, walk 5 blocks in 8 minutes. Terell and his dog, Lady, walk 8 blocks in 12 minutes. Who walks at a slower rate? How long whould it take that person to walk 12 block?

Answers

Carmen and her dog, Duke walked at a slower rate at 0.625 blocks/min

Carmen and her dog, Duke would take 19.2 minutes to work 12 blocks.

What is rate?

In math, a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate. The word "per" can be further replaced by the symbol "/" in problems.

Carmen/Duke walks 5/8 = 0.625

Terell/Lady walks 8/12 = 0.677

Therefore, from the average time, Carmen and Duke walk slower.

Carmen and Duke will walk 12 blocks in;

= 12/0.625

= 19.2 minutes

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help me pls

Angle Relationships

Answers

As a result, the answer to the given angle problem can be found by comparing the position, measurement, and congruence of two or more angles.

Define angle.

When two lines come together at a common point, an angle is created. They are expressed as a number of degrees, denoted by the symbol °. Acute, right, obtuse, and reflex angles are the other three significant types of angles. 360 degrees make up a circle. A 720° angle indicates that the object has completed two full rotations.

Here,

You can compare angles and take into account their relationships to other angles in addition to calculating degrees or radians.

Since we are comparing the position, measurement, and congruence of two or more angles, we refer to them as having "angle relationships."

For instance, two lines or line segments that cross each other create two pairs of vertical angles.

When a transversal intersects two parallel lines, complex angle relationships, such as alternating interior angles, matching angles, and so forth, result.

As a result, the answer to the given angle problem can be found by comparing the position, measurement, and congruence of two or more angles.

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A physically active adult weighing 170 pounds needs to consume about 2815 calories per day in order to maintain his or her weight. A nutritionist recommends that no more than 30% of those calories should come from simple sugars What is the maximum number of calories per day that should come from simple sugars?

Answers

Answer:

844.5 calories.

Step-by-step explanation:

If a physically active adult weighing 170 pounds needs to consume about 2815 calories per day in order to maintain his or her weight, and a nutritionist recommends that no more than 30% of those calories should come from simple sugars, the maximum number of calories per day that should come from simple sugars is:

2815 calories * 30% = <<281530.01=844.5>>844.5 calories

So, the maximum number of calories per day that should come from simple sugars is 844.5 calories.

Answer

844.5

Step-by-step explanation:

80+100=180

180÷100=1.80

1.80×2815=844.5

Photo attached someone please help
thanks

Answers

By drawing the line x + y = 2, one of the solution to the given system of equations is (0, 2).

What is the equation of a circle?

Mathematically, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²  

Where:

h and k represents the coordinates at the center of a circle.r represents the radius of a circle.

From the information provided, we have the following system of equations:

x² + y² = 9             ......equation 1.

x + y = 2              .............equation 2.

Next, we would use an online graphing calculator to plot the given system of equations and then highlight (read) the point of intersection, which is the ordered pair (0, 2).

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I need c15 and c16 doing please with working out thank you

Answers

Therefore , the solution to the given problem of circle comes out to be area = 25.1 sq cm and perimeter=12.5 cm.

What is the circle?

Every position in a circle's plane is equally spaced from the centre and is considered to be a closed, double object. A line of reflected symmetry is created as a result of each line traversing the circle. Each angle also has an axis of symmetry that circles its center.

Here,

Given : Diameter = 8

Radius = 8/2 = 4cm

To find the semi circle area

=>semi circle area = πr²

=>  22/7 * 4² *1/2

=>  25.1 sq cm

To find the perimeter of semi circle :

=> 2πr /2

=> πr

=> 22/7*4

=>12.5 cm

Therefore , the solution to the given problem of circle comes out to be area = 25.1 sq cm and perimeter=12.5 cm.

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what is the correct factorization of 100^12

Answers

Answer:

GCF of 12 and 100 by Prime Factorization

Prime factorization of 12 and 100 is (2 × 2 × 3) and (2 × 2 × 5 × 5) respectively. As visible, 12 and 100 have common prime factors. Hence, the GCF of 12 and 100 is 2 × 2 = 4.

GCF of 12 and 100 by Listing Common FactorsFactors of 12: 1, 2, 3, 4, 6, 12Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

There are 3 common factors of 12 and 100, that are 1, 2, and 4. Therefore, the greatest common factor of 12 and 100 is 4.

leila says that 75% of a number will always be greater than 50% of any other number
support
75% of ____>50% of _____
refute
75%of ____ < 50% of_____

Answers

Answer:

it is not always true that 75% of a number will be greater than 50% of any other number

Step-by-step explanation:

Leila's statement is not true. It is possible for 50% of a number to be greater than 75% of another number.

For example, consider the numbers 10 and 100. 50% of 10 is 5, and 75% of 100 is 75. In this case, 50% of 10 (5) is greater than 75% of 100 (75).

Here's another example: 50% of 20 is 10, and 75% of 30 is 22.5. In this case, 50% of 20 (10) is again greater than 75% of 30 (22.5).

Therefore, it is not always true that 75% of a number will be greater than 50% of any other number.

Which statement is true based on a graph of the line that passes through the given coordinates? (2, 1), (3,3), (5,7), (6,9) Please help

A. The line that passes through the given coordinates does not represent a proportional relationship because the line passes through the origin.

B. The line that passes through the given coordinates represents a proportional relationship because the line passes through the origin.

C. The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.

D. The line that passes through the given coordinates represents a proportional relationship because the line does not pass through the origin.

Answers

The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin. Option C

What is a proportional relationship?

We can say that a relationship  is proportional when the relation does lead to a straight line graph and the graph would have to be able to pass through the origin.

Hence, even if we have a straight line graph but the graph does not pass through the origin of the graph then we can not say that the relationship that is existing between the coordinates that have been shown is proportional.

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Please solve the ques below:

Answers

Answer:

510 miles

Step-by-step explanation:

                                       A                     B

Rate                               80                  120

Time                                 x                     x - 2

Distance        

Distance = rate x time

A's distance

d = 80x

B's distance

d = 120(x -2)          

The distances equal each other when B catches up to A.  Set the equations equal to each other and solve for the time

80x = 120(x -2)  Distribute the 120

80x = 120x - 240  Subtract 120x from both sides

-40x = -240    Divide both sides by -40

x = 6

After 6 hours, B caught up with A.  Substitute 6 for t and find the distance. You can use A or B.    

d= 80x

d = 80(6)

d = 480

We need to add another 30 miles to get to the next town.

480 + 30 = 510

Write an equation of a line

Answers

Answer:

Step-by-step explanation:

Steps to find the equation of a line from two points:

   1) Find the slope using the slope formula. ...

   2) Use the slope and one of the points to solve for the y-intercept (b). ...

   3) Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = MX + b) to get the equation for the line.

Translate the following: "Four times a number n is equal to the difference between that number and 10"

Answers

Answer:

4n=10-n

n=2

Step-by-step explanation:

add n to both sides

5n=10

divide both sides by 5

n=10/5

n=2

54% of 59.7 is what?

Answers

Answer:

Step-by-step explanation:

15.9 beacuse yeah thats it

The answer would be 32.238

FIND THE SLOPE . THE PICTURE ATTACHED IS THE FULL QUESTION ,

Answers

Answer:

-12/5

Step-by-step explanation:

slope = change in y / change in x

change in y = 12 (from top to bottom) = 6 - (-6)

change in x = -5 (from top to bottom) = -2 -3

slope = 12/-5 = -12/5

5
Jasmine is a receptionist at a doctors office. She books 36 appointments each day.
Four out of every 24 appointments are cancelled. How many appointments are cancelled
each day?
6
Kendrick's Kennel has 2/spots for cats for every spots for dogs. If he has a total of
(144 spots for both cats and dogs, then how many more spots does he have for dogs

Answers

Answer:

5. 6 appointments are cancelled

6. 80  more spots

Step-by-step explanation:

5. Jasmine has 36/24 = 1.5 times as many appointments as cancellations each day.

Since 1.5 times 4 is 6, Jasmine has 6 cancellations each day.

6. Kendrick's kennel has 2 spots for cats for every 7 spots for dogs. If he has a total of 144 spots for both cats and dogs;

Spots for cats = 2x ;

So, spots for dogs will be = 7x ;

Total spots for cats and dogs will be = 2x + 7x = 144 ;

x = 144/9 = 16 ;

So, spots for cats = 2 * 16 = 32 ;

Spots for dogs = 7 * 16 = 112 ;

spots for dogs more than cats are = 112 - 32 = 80 .

Kendrick kennel has 80 more spots for dogs than cats.

A 3-gallon container of disinfectant costs $36.24. What is the price per quart?

Answers

Answer:

10.74666666666667 per quart

Step-by-step explanation3 divided 36.24

please help it’s due in half an hour

Answers

Answer:

(a) They asked for one value of x

but I'll give you both

They're 2 and -2

(b)g(-1) = 4

Step-by-step explanation:

For (a) they're are looking for the value of x that is corresponding to 1 on the y axis

If you observe from your graph only -2 and 2 will have a corresponding value of 1 therefore they're the answers

for (b) Just look for the corresponding value of -1(x -axis) on the y axis which is 4

what percent of 50 is 25 with solution​

Answers

25 is 50% of 50
Because if you times 25 by 2 then you get 50
Times 50% by 2 and you get 100%
Therefore the answer is 50%

Answer:

50%

What is a percentage?

A percentage is a ratio, or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.

Looking at the problem, we can take 25, and divide 50 by it.

25 ÷ 50 = 0.5

0.5 is equal to 5/10, which is also equal to 50%, meaning that 50% of 50 is 25.

What is the equation of the least squares regression line for the data set?

Answers

The equation of the least squares regression line for the data set is (b) ŷ = -2.984x + 112.38

How to determine the equation of the least squares regression line for the data set

From the question, we have the following parameters that can be used in our computation:

Volunteer 15 11 22 35 18 41 27 18

Trees 77 99 4 11 44 14 2 90

Using a graphing calculator, we have the following calculation summary

Sum of X = 187Sum of Y = 341Mean X = 23.375Mean Y = 42.625Sum of squares (SSX) = 741.875Sum of products (SP) = -2213.875

The regression equation is represented as

ŷ = bX + a

Where

b = SP/SSX = -2213.88/741.88 = -2.98416

a = MY - bMX = 42.63 - (-2.98*23.38) = 112.37978

So, we have

ŷ = -2.98416X + 112.37978

Approximate

ŷ = -2.984x + 112.38

Hence, the equation  is ŷ = -2.984x + 112.38

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7 x (n + 3) = (7 x 2) + (7 x 3)

Answers

Answer:

N = 2

Step-by-step explanation:

We must solve for N.

Solve inside the parenthesis if needed, otherwise open them

7n + 21 = (14) + (21)

Now solve, then simplify

7n + 21 = 35

7n = 35 - 21

7n = 14

N = 2

. If Mario was 32 years old 8 years ago, how old was he x years ago?

Answers

Answer: He was 32 years old 8 years ago, than a) x-40 b) x-24 c) 40-x d) 24-x e) 24+x

Step-by-step explanation:

Mario was '40 - x' years old when he was 'x' years old.

If he was 32 years old, 8 years ago, then he is 40 now as (32+8) equals 40.

If he is 40 years old now, then he was '40 - x',  x years ago.

Hence, '40 - x' is the answer to this sum.

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Please help will mark

Answers

Answer:

this is the graph and just find the slope each equation

What is the value of the expression below when x=2?
8x^2 +6x-8
8x
2
+6x−8

Answers

When we evaluate the expression 8x² + 6x - 8 in x = 2, we will get the value 36.

What is the value of the expression when x = 2?

Here we need to evaluate the following expression:

8x² + 6x - 8

in x = 2.

Evaluating means that we need to replace the variable by the given number. Replacing the "x" by 2, we will get:

8*2² + 6*2 - 8

8*4 + 12 - 8

8*3 + 12

24 + 12 = 36

When x = 2, the expression is equal to 36.

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SAVINGS Natalie has $250 in her savings account, into which she deposits $10 of her allowance each week. The balance of her savings account can be modeled by the function f(w)=250+10w, where w represents the number of weeks. Which function g(w) represents the balance of Natalie’s savings account if she withdraws $40 to purchase a new pair of shoes? Describe the translation of f(w) that results in g(w).

Answers

Answer:

Answer:Step-by-step explanation:GivenRequiredDetermine g(w)First, we'll write an expression for g(w)From the question, we understand that she withdrew $40 from her account balance in w weeks.This implies that:Where f(w) is the account balance in w weeks and $40 is the withdrawn amountSubstitute 250 + 10w for f(w)Collect Like TermsRecall that:This means that function f(w) when shifter by 40 units downward, gives g(w)

Step-by-step explanation:

Which expression is equivalent to 4(x + 2)?
12x
6x
4x + 2
4x + 8

Answers

Answer:

4x +2

Step-by-step explanation:

4( x + 2)

= 4*x +4*2

= 4x +2

Shana wants to buy a music player. She has $100 cash.

Can Shana afford an $89 unit plus HST? Yes or No?

Provide an estimate or a calculation to support your answer=

What is the original price of the most expensive item
Shana can buy for $100?

Answers

Yes, Shana can afford an $89 unit plus HST. The total cost of the unit would be $100.20, which is within her budget. The original price of the most expensive item Shana can buy for $100 is $89.

In a village, the cases of a particular infectious
disease have been exponentially decreasing at
a rate of 95% per year since the people started
receiving the vaccine. If there were 200 cases
in the village to start with, predict the number
of cases after 2 years.
First, complete the equation:
Remaining Amount = 200(1-0.95)²

Answers

The number remaining in the village is 30.

How many people remain?

We have to note that the case in which the population of the community is being reduced because of the fact that the community is being ravaged by disease is a case of a decrease in the population and is a problem of exponential decrease.

Then we would have that;

N =Noe^-rt

N = Number at time t

No = Initial number

r = spread rate

t = time taken

Then;

N = 200e^-0.95 * 2

N = 30

Thus, they would have only 30 people left.

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Dilate the line shown by a scale factor of 1/4 with the center as (-3,9). Graph the dilated line

Answers

On solving the provided question we can say that - the coordinates from the graphs will be P' = (0.0); Q' = (1,0); R' = (1,1); S' = (0,1)

what are coordinates?

A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is r

A fixed point serves as the dilation's center.

Dk is used to represent dilation, where k is the scale factor.

Dk (x, y) = for a dilation centered on the origin (kx, ky)

Let's assume that you have a PQRS rectangle where

P = (0,0)

Q = (4,0)

R = (4,4)

S = (0,4)

You must multiply each coordinate by 1/4 to achieve the dilation of this PQRS to P'Q'R'S' with a scale factor of 1.

P' = (0.0)

Q' = (1,0)

R' = (1,1)

S' = (0,1)

You may plot both of these rectangles to see that they are the same size and are centered on the origin, but they have different shapes.

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LMNP is a rectangle. Find the value of x and the length of each diagonal. LN=x and MP=4x-6

Answers

Answer: x = 2.

LN = MP = 2.

Solution in the photo, below.

Lana wants to enclose a garden plot each side of the garden will be 9 feet what is the area of the garden

Answers

The area of garden will be 81 feet².

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Each side of the garden = 9 feet

We know that;

⇒ Area of square = Side²

Here, Each side of the garden = 9 feet

Hence, The area of garden = 9²

                                           = 81 feet²

Thus, The area of garden = 81 feet²

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